The Mathematics of India (Record no. 2139)

000 -LEADER
fixed length control field 02042nam a22002177a 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240902161007.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9789386279699
040 ## - CATALOGING SOURCE
Transcribing agency Tata Book House
Original cataloging agency ICTS-TIFR
050 ## - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA 27. I4
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Divakaran, P. P.
245 ## - TITLE STATEMENT
Title The Mathematics of India
Remainder of title : Concepts, Methods, Connections
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. New Delhi:
Name of publisher, distributor, etc. Hindustan Book Agency,
Date of publication, distribution, etc. [c2018]
300 ## - Physical Description
Pages: 441 p
490 ## - SERIES STATEMENT
Series statement Culture and history of mathematics
Volume/sequential designation 10
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note I Beginnings<br/>1. Background: Culture and Language<br/>2. Vedic Geometry<br/>3. Antecedents? Mathematics in the Indus Valley<br/>4. Decimal Numbers<br/><br/>II The Aryabhatan Revolution<br/>5. From 500 BCE to 500 CE<br/>6. The Mathematics of the Ganitapāda<br/>7. From Brahmagupta to Bhaskara II to Narayana<br/><br/>III Madhava and the Invention of Calculus<br/>8. The Nila Phenomenon<br/>9. Nila Mathematics – General Survey<br/>10. The π Series<br/>11. The Sine and Cosine Series<br/>12. The π Series Revisited: Algebra in Analysis<br/><br/>IV Connections<br/>13. What is Indian about the Mathematics of India?<br/>14. What is Indian . . .? The Question of Proofs<br/>15. Upasamhāra
520 ## - SUMMARY, ETC.
Summary, etc. This book identifies three of the exceptionally fruitful periods of the millennia-long history of the mathematical tradition of India: the very beginning of that tradition in the construction of the now-universal system of decimal numeration and of a framework for planar geometry; a classical period inaugurated by Aryabhata’s invention of trigonometry and his enunciation of the principles of discrete calculus as applied to trigonometric functions; and a final phase that produced, in the work of Madhava, a rigorous infinitesimal calculus of such functions. The main highlight of this book is a detailed examination of these critical phases and their interconnectedness, primarily in mathematical terms but also in relation to their intellectual, cultural and historical contexts.
856 ## - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://link.springer.com/book/10.1007/978-981-13-1774-3">https://link.springer.com/book/10.1007/978-981-13-1774-3</a>
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type Book
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Home library Shelving location Date acquired Full call number Accession No. Koha item type Inventory number
          ICTS Rack No 3 01/17/2019 QA 27.I4 01485 Book  
        Mathematics ICTS Rack No 3 10/27/2023 QA 27.I4 02766 Book Donated by TIFR CAM